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Finding sets of solutions to systems of nonlinear inequalities

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The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows… Click to show full abstract

The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows one to obtain an interior and exterior approximation of this set with a prescribed accuracy. The efficiency of the method is demonstrated by determining the workspace of a parallel robot.

Keywords: sets solutions; nonlinear inequalities; solutions systems; finding sets; systems nonlinear

Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2017

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